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Finding the Fourth Proportional to 278.26, 414.48 and 277.30

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Solution

The fourth proportional to 278.26, 414.48 and 277.30 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 414.48 = 277.30 : x
  2. Step 2: Convert to fraction form
    278.26/414.48 = 277.30/x
  3. Step 3: Cross multiply
    278.26x = 414.48 × 277.30
  4. Step 4: Simplify right side
    278.26x = 114,935.30
  5. Step 5: Solve for x
    x = 114,935.30/278.26
  6. Step 6: Final answer
    x = 413.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.